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Finding the Fourth Proportional to 6,014.66, 9,019.67 and 2,065.18

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Solution

The fourth proportional to 6,014.66, 9,019.67 and 2,065.18 is: 3,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.66 : 9,019.67 = 2,065.18 : x
  2. Step 2: Convert to fraction form
    6,014.66/9,019.67 = 2,065.18/x
  3. Step 3: Cross multiply
    6,014.66x = 9,019.67 × 2,065.18
  4. Step 4: Simplify right side
    6,014.66x = 18,627,242.09
  5. Step 5: Solve for x
    x = 18,627,242.09/6,014.66
  6. Step 6: Final answer
    x = 3,096.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.